- #1
Sumedh
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[SOLVED]
Let[tex] 4x^2-4(α-2)xα-2=0 (α\epsilon R)[/tex]
be a quadratic equation, then find the value of α for which both the roots are positive.
the conditions will be
1) Discriminant D≥0
by this condition i got α (-∞,2][3,∞)
2) f(0) greater than or equal to 0
by this we get α (2,∞)
3) now should i use -b/2a(point exactly between both roots)
and equate as -b/2a greater than 0if-3rd point is right then what will be the final answer
α (?,?)union(?,?)
please provide help
Homework Statement
Let[tex] 4x^2-4(α-2)xα-2=0 (α\epsilon R)[/tex]
be a quadratic equation, then find the value of α for which both the roots are positive.
Homework Equations
The Attempt at a Solution
the conditions will be
1) Discriminant D≥0
by this condition i got α (-∞,2][3,∞)
2) f(0) greater than or equal to 0
by this we get α (2,∞)
3) now should i use -b/2a(point exactly between both roots)
and equate as -b/2a greater than 0if-3rd point is right then what will be the final answer
α (?,?)union(?,?)
please provide help
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